An eigenstrain formulation for the prediction of elastic moduli of defective fiber networks

DOI10.1016/j.euromechsol.2008.07.010zbMath1156.74363OpenAlexW1980684217WikidataQ60153846 ScholiaQ60153846MaRDI QIDQ1006777

R. C. Picu, Hamed Hatami-Marbini

Publication date: 25 March 2009

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2008.07.010

zbMATH Keywords

path-independent integralsnon-affine deformationspectral decomposition of eigenfields

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Random structure in solid mechanics (74E35)

Related Items

A quasicontinuum methodology for multiscale analyses of discrete microstructural models ⋮ A mixtures' model for porous particle-polymer composites ⋮ Dynamical properties of random fibrous networks based on generalized continuum mechanics ⋮ A multiscale quasicontinuum method for lattice models with bond failure and fiber sliding ⋮ Long-range correlations of elastic fields in semi-flexible fiber networks

Cites Work

• Unnamed Item
• Unnamed Item
• Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli
• Elastic solids with many cracks: a simple method of analysis
• A new concept of path-independent integrals for plane elasticity
• Conservation laws in elasticity of the J-integral type
• Extraction of cohesive-zone laws from elastic far-fields of a cohesive crack tip: A field projection method.
• Linear elasticity of planar Delaunay networks. III: Self-consistent approximations
• Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids
• Microstructural Randomness Versus Representative Volume Element in Thermomechanics
• Steady State Problems in Anisotropic Elasticity
• Micromechanics of three-dimensional fibrewebs: constitutive equations
• Conservation Laws and Energy-Release Rates